It is possible, problem is that the hosting server needs a GPU on board... otherwise it wont start. But i think Esenthel is adding this feature soon that you can start EE without the need of GPU. Its on the roadmap

also it needs to be windows-based hosting.
although some servers do actually have onboard gpu (intel), that depends, so it may be possible that you could run it already.

I am hosted on a windows paid hosting plan from godaddy